Least Common Multiple of 5446 and 5453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5446 and 5453 the smallest integer that is 4242434 that is divisible by both numbers.

Least Common Multiple (LCM) of 5446 and 5453 is 4242434.

LCM(5446,5453) = 4242434

LCM of 5446 and 5453

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5446 and 5453

LCM of 5446 and 5453 is 4242434

Least common multiple can be found by multiplying the highest exponent prime factors of 5446 and 5453. First we will calculate the prime factors of 5446 and 5453.

Prime Factorization of 5446


2 5446
7 2723
389 389
1

Prime factors of 5446 are 2, 7,389. Prime factorization of 5446 in exponential form is:

5446 = 21×71×3891

Prime Factorization of 5453


7 5453
19 779
41 41
1

Prime factors of 5453 are 7, 19,41. Prime factorization of 5453 in exponential form is:

5453 = 71×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5446 and 5453.

LCM(5446,5453) = 21×71×191×411×3891
LCM(5446,5453) = 4242434

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1, 2, 7, 14, 389, 778, 2723, 5446

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1, 7, 19, 41, 133, 287, 779, 5453

Least Common Multiple of 5446 and 5453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5446 and 5453, than apply into the LCM equation.

GCF(5446,5453) = 7
LCM(5446,5453) = ( 5446 × 5453) / 7
LCM(5446,5453) = 29697038 / 7
LCM(5446,5453) = 4242434

Properties of LCM 5446 and 5453

(i) The LCM of 5453 and 5446 is associative

LCM of 5446 and 5453 = LCM of 5453 and 5446

Related Least Common Multiples of 5446

Related Least Common Multiples of 5453

Frequently Asked Questions on LCM of 5446 and 5453

1. What is the LCM of 5446 and 5453?

Answer: LCM of 5446 and 5453 is 4242434.

2. What are the Factors of 5446?

Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.

3. What are the Factors of 5453?

Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.

4. How to Find the LCM of 5446 and 5453?

Answer:

Least Common Multiple of 5446 and 5453 = 4242434

Step 1: Find the prime factorization of 5446

5446 = 2 x 7 x 389

Step 2: Find the prime factorization of 5453

5453 = 7 x 19 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4242434 = 2 x 7 x 19 x 41 x 389

Step 4: Therefore, the least common multiple of 5446 and 5453 is 4242434.